CPM Homework Help : PC Problem 1-69

Write each expression below with the smallest possible integer base. (Example: $\frac{1}{9^4}=\frac{1}{(3^2)^4}=\frac{1}{3^8}=3^{−8}$ ) (Part (c) may be tricky.)

$\frac { 1 } { 27 ^ { 5 }}$

$( \frac { 1 } { 8 } ) ^ { x }$

$16^x·(\frac{1}{32})^{(2-x)}$
Hint (c):
Convert the $16$ and the $32$ to the smallest integer base. Use the Laws of Exponents to combine.
Answer (c):
$2^{\left(9x−10\right)}$